Calculate each unit rate. Round to the nearest hundredth if necessary. 175 Calories in 12 ounces

WXYZ must be a square, all the sides must have a length of 5.

The vertices of the quadrilateral are:

W(-1, 1), X(3, 4), Y(6,0), and Z(2, -3)

Distance can be calculated using the formula derived from Pythagoras theorem. In coordinate geometry, the distance formula is:

\(\sqrt{[(x_2 -x_1)^2 + (y_2 - y_1)^2]}\)

We have to prove that WXYZ is a square.

Using the distance formula :

\(WX = \sqrt{(-1-3)^2+(1-4)^2}\\ \\WX = \sqrt{16 + 9}\\ \\WX = \sqrt{25}\\ \\WX = 5\)

Since WXYZ must be a square, all the sides must have a length of 5.

Learn more about Square at:

https://brainly.com/question/28776767

#SPJ4

The given question is incomplete, complete question is:

Select the correct answer from each drop-down menu.

Given: W(-1, 1), X(3, 4), Y(6,0), and Z(2, -3) are the vertices of quadrilateral WXYZ.

Prove: WXYZ is a square.

Using the distance formula, I found that

…

A. all four sides have a length of 5

B. all four sides have different lengths

C. only 2 sides have the same length

D. all four sides have a length of 10

\(\\ \sf\longmapsto \sqrt{11+2^230}\)

\(\\ \sf\longmapsto \sqrt{11+4(30)}\)

\(\\ \sf\longmapsto \sqrt{11+120}\)

\(\\ \sf\longmapsto \sqrt{131}\)

\(\\ \sf\longmapsto 11.3\)

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

Answer:

uhh hope this helps

Step-by-step explanation:

A Diginacci sequence is created as follows.

• The first two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the first 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two different starting terms

which contains five consecutive terms that are even and not all identical

Both 2 and 3 is correct.

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

3.67

Step-by-step explanation:

Because, 9% is literally just 9/100

and when you multiply that by 245 then you get 3.67

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y

Answer:

The final answer is 7.

Step-by-step explanation:

Since the question states that Little's law can be applied to any single part of the store (for example, just the checkout line), then the average number of shoppers,

�

, in the checkout line at any time is

�

=

�

�

, where

�

is the number of shoppers entering the checkout line per minute and

�

is the average number of minutes each shopper spends in the checkout line.

Since 84 shoppers per hour make a purchase, 84 shoppers per hour enter the checkout line. However, this needs to be converted to the number of shoppers per minute (in order to be used with

�

=

5

). Since there are 60 minutes in one hour, the rate is

84

shoppers

per

hour

60

minutes

=

1.4

shoppers per minute. Using the given formula with

�

=

1.4

and

�

=

5

yields

�

=

�

�

=

(

1.4

)

(

5

)

=

7

Therefore, the average number of shoppers,

�

, in the checkout line at any time during business hours is 7.

The size of the population is 120 shoppers while the size of the sample is 29.

Population is the total amount of people or living things or things from which a survey or research is carried out. Meanwhile the sample is a portion of the population.

From the given question, the total number of shoppers is 120 and as such it is the population while the sample is 29 people being surveyed.

Read more about Population and Sample at; https://brainly.com/question/7301139

#SPJ1

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

Read more about transformation at

https://brainly.com/question/1548871

#SPJ1

Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

Answer:

(5-7)^2 because g(x) is the value of h(x) squared

x-7, s = 5

5-7)^2

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

because 1.04 is closest to 1

Answer:

152

Step-by-step explanation:

8*10+12*6 =80+72 =152

Answer:

$5

Step-by-step explanation:

We can solve this using a system of linear equations. The equations are written like this:

3v + 9d = 75

5v + 10d = 100 (25 more than Dawn's total is 100)

V represents video games and d represents DVDs.

Let's isolate a variable, I'm going to isolate v in the first equation:

3v = -9d + 75

v = -3d + 25

Now that we isolated v we can plug it in to the second equation:

5(-3d + 25) + 10d = 100

-15d + 125 + 10d = 100

-5d + 125 = 100

-5d = -25

d = 5

Therefore, each DVD cost $5.

Check:

3v + 9(5) = 75

3v + 45 = 75

3v = 30

v = 10

5(10) + 10(5) = 100

50 + 50 = 100

100 = 100

I hope this helps!!

- Kay :)

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ1

Answer:

initial population : 89

after 9 years : 676

Step-by-step explanation:

no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.

the initial population is P(0). or t = 0.

simply when there were 0 years since the fish were added.

that is simple.

we get (as -0.42×0 = 0)

800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89

now, after 9 years we have to calculate P(9). or t=9.

let's pre-calculate : -0.42×9 = -3.78

e to the power of -3.78 = 0.022822691...

8 times this is 0.182581531...

and plus 1 is 1.182581531...

800 / 1.182581531... = 676.486127 ≈ 676

Answer:

-18

Step-by-step explanation:

Substitute in -2 for x

-(-2)²+2(-2)-10

-4-4-10

-18

Answer:

2 hours and 27 minutes

Answer:

2 hours and 27 mins

Step-by-step explanation:

Answer:

horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward

Step-by-step explanation:

Step-by-step explanation:

(2×8² - 2²×8)/(2×8)

before we start typing things into the calculator, we see that the fraction can be simplified :

(2×8² - 2²×8)/(2×8) | divide top and bottom by 2

(8² - 2×8)/8 | divide top and bottom by 8

(8 - 2)/1 = 6/1 = 6

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

for such more question on common difference

https://brainly.com/question/25731911

#SPJ8

The answer for your 1st question is length = 7.65m and width is 4.575 m

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

As the equation you already mentioned

4w=2L+3

LxW=35

so, 4(35/l)=2L+3​

Now, we have to find length

4(35/L) = 2L+3​

140 = (2L +3) * L

140 = 2L² + 3L

2L² + 3L - 140 = 0

As we get quadratic equation so we solve this by quadratic formula

x = (-b ± √b² - 4ac) / 2a

we have the equation is,

2L² + 3L - 140 = 0

where a = 2 , b = 3, c = -140

put these values in quadratic formula

L = (-3 ± √3² - 4*2*-140) / 2*2

  = (-3 ± √9 - 4*2*(-140) ) / 4

  = (-3 ± √9 + 1120 ) / 4

  = (-3 ± √1129 ) / 4

L = (-3 ± 33.6) / 4

Split the values,

L = (-3 ± 33.6) / 4    and    L = (-3 - 33.6) / 4

L = 7.65                   and    L = -9.15  ( -ve value is not possible)

So, the length is 7.65 m and width is

W * L = 35

W * 7.65 = 35

W = 4.575 m

Hence, the length is 7.65 m and width is 4.575 m

To read more about Quadratic equation

https://brainly.com/question/21466038

#SPJ9

Answer:

No, 60 is the third interior angle's mesure, not the exterior ∠3.

Step-by-step explanation:

Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.

The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180,  so∠3=180-∠C=180-60=120.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the line perpendicular to

y = -5x + 5 we must first find the slope of

Comparing with the general equation above

Slope = - 5

The slope of the perpendicular line is the negative inverse of the slope of the original line

Slope of perpendicular line = 1/5

Equation of the line using point (5,5) and slope 1/5 is

We have the final answer as

Hope this helps you

Answer:

y=0.2x+4 or y=1/5 x+4.

Step-by-step explanation:

When one line is perpendicular to another, you have to find the opposite reciprocal for the slope of the given equation.

For instance, if you have the number 5, the reciprocal of 5 is 1/5 or 0.2. The opposite of positive is negative. Therefore, it is -0.2.

Therefore, if the slope of the first equation is -5, the slope for the next equation is 1/5. Reciprocal of -5 is -1/5. The opposite of -1/5 is positive 1/5. Or, the opposite of negative is positive. Therefore, it would be 1/5x.

However, we are not done.

Since we are given that the line passes through the point (5,5), we need to find the y-intercept of this equation.

The formula for slope-intercept is y=mx+b.

M is your slope

B is your y-intercept.

We can find the y-intercept by actually plugging in the point (5,5) into the new equation.

5=0.2(5)+b.

5 is x and 5 is also y.

(x,y).

Simplify the equation by multiplying 0.2 times 5. That is equal to 1.

We now have 5=1+b.

Isolate for the letter "b" by subtracting 1 from both sides.

1-1 is 0.

5-1 is 4.

Therefore, b=4.

Finally, we can plug in the y-intercept into the new equation.

y=0.2 or 1/5x+4.

I hope this helps! I also hope you have a great rest of your day!

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Option 2 is correct.

The axis of symmetry is, x= 3

Step-by-step explanation:

Given: The zeros of the quadratic function f are 1 and 5.

If the zeroes are at x =1 and at x  =5, then,

the factor equations were  x- 1=0 and x-5 = 0.

Then. the factors were x -1 and x-5 .

Any factorable quadratic is going to have just the two factors, so these are must be them.

Then, the original quadratic was :

or

     [by distributive property  ]

Combine like terms;

               ......[1]

A quadratic equation is of the form: ; where a, b, c are the coefficient ]

On comparing equation [1] with general equation we have;

the value of  a = 1 , b = -6 and c =5

Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.

i,e

Then;

Axis of symmetry (x) =

Therefore, the equation of the axis of symmetry is;  x = 3

Let's start by defining some variables:

Let's call Jamal's age "J".

Let's call Alex's age "A".

From the problem statement, we know that:

J = A - 5 (Jamal is 5 years younger than Alex)

J * A = 300 (the product of their ages is 300)

We can use the first equation to substitute J in the second equation:

(A - 5) * A = 300

Expanding the left-hand side:

A^2 - 5A = 300

Moving all terms to the left-hand side:

A^2 - 5A - 300 = 0

We can solve for A using the quadratic formula:

A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)

A = (5 ± sqrt(25 + 1200)) / 2

A = (5 ± sqrt(1225)) / 2

Since A is a positive integer, we take the positive solution:

A = (5 + 35) / 2 = 20

Now we can use the first equation to find J:

J = A - 5 = 20 - 5 = 15

Therefore, Jamal is 15 years old.

Answer: -19 i think

Step-by-step explanation: